Math mini-contest trigonometry problem for Day 7 on D.Buzz for May 2021 😎

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Math mini-contest problem for Day 7 on D.Buzz for May 2021 😎

Triangle FAN is circumscribed in a circle G. Fang already solved for the following in the circle:

  • NG = 4 meters
  • FN = 5 meters
  • AN = 6 meters

What should Fang's answer regarding the measure of arc FA be?